To solve the problem of determining the bowl volume of the wine glass, height at 150 mL, surface area of the wine glass, and volume of glass used for a wine glass with these functions, we need to follow a systematic approach. Let's break down each part step-by-step. Bowl function = y=.02469755\left(x-\frac{53}{16}\right)^{3}-.3195217\left(x-\frac{53}{16}\right)^{2}+1.13611868\left(x-\frac{53}{16}\right)+\left(\frac{5}{16}\right)\left{3.2<x<7.375\right} Stem Function = y=\frac{3}{16}\left{.8176<x<3.2\right} Base Function = y=e^{-6\left(x-.1\right)}+\frac{10}{65}\left{0\le x<.8176\right}